基于MC准则的DP系列准则的巷道围岩塑性分析  

The Plastic Analaysis of Surrounding Rock of Roadway Based on Drucker-Prager Yield Criterions of MC Yield Criterion

作　　者：王昆[1] 赵光明[1,2] 孟祥瑞[1] 

机构地区：[1]安徽理工大学能源与安全学院,安徽淮南232001 [2]重庆大学西南资源开发及环境灾害控制工程教育部重点实验室,重庆400044

出　　处：《煤矿安全》2013年第9期67-70,共4页Safety in Coal Mines

基　　金：国家自然科学基金资助项目(51174005);安徽高校省级自然科学研究重点资助项目(KJ2011A085)

摘　　要：考虑不同屈服准则对塑性区的影响,以Mohr-Coulomb屈服准则和Drucker-Prager屈服准则作为巷道围岩的塑性条件,推算出巷道围岩塑性区半径和位移的解析解。研究表明,不同屈服准则对塑性区半径和位移的大小的分布均有重要影响;同时分别考虑不同内聚力、内摩擦角、原岩应力和支护阻力情况下,塑性区半径和位移的Mohr-Coulomb准则解和Drucker-Prager系列准则解的变化规律并对其进行比较。分析表明,相同条件下,塑性区半径及位移的DP3准则解最大,DP1准则解最小,DP2准则解接近于Mohr-Coulomb准则解。Considering the influence of different yield criterions on plastic zone, the Mohr - Coulomb yield criterion and the Drucker - Prager yield criterion were used as plastic condition of roadway surrounding rock, and the analytical solutions of plastic zone radius and displacement were calculated. The studies show that different yield criterions have significant effects on plastic zone radius and dis- placement. At the same time, the plastic zone radius and displacement based on Mohr - Coulomb criterion and Drucker - Prager yield criterions were analyzed and compared according to different cohesion, internal friction angles, in - situ stress and support resistance. The results show that under the same conditions, the plastic zone radius and displacement based on Drucker - Prager 3 criterion are lar- gest, and based on Drucker - Prager 1 criterion are minimum, Drucker - Prager 2 criterion are close to those based on Mohr - Coulomb criterion.

关 键 词：Drucker—Prager屈服准则 Mohr—Coulomb屈服准则 巷道围岩 塑性分析 

分 类 号：TD325.1[矿业工程—矿井建设]